- #1
King_Silver
- 83
- 6
Homework Statement
Below are attached 2 beams, A and B. I have to calculate the vertical and horizontal reactions at both supports in both questions. I have done a lot of calculations and believe I have a good understanding of what is needed to be done however my forces are not balancing for some reason. We use a software called LinPro and for Beam A the following answers are given: Ha = -12kN , Va = -39.46kN, Vb = 36.54kN
Homework Equations
∑Ma = 0
∑Hf = 0
∑Vf = 0
The Attempt at a Solution
For A I have set it up as follows.
Va + Vb = 60kN + 16kN (76kN)
The 16kN comes from 4kN* 4 from the diagonal force given.
I then took the moments about point A as follows.
(20kN*3m*1.5m) + 5Vb + (16kN*7) = 0
5Vb = 202kN
Vb = 40.4kN which is NOT 36.54kN.
The horizontal forces are easy to calculate due to Vb being a roller support therefore Hb = 0 which ultimately means Ha = -12kN.
For the Support B!
Va+Vb = 50kN
Ha+Hb = 10kN (once again, Ha = -10kN because of the roller support at Hb = 0kN)
For this one however the support is at an angle. How to deal with supports at an angle? I figured it would just be Arctan(1/2) but that s giving me some strange answers which I know from just looking at aren't quite right.
Am I missing something crucial? I feel I must be overlooking something or are the answers I am calculating on Linpro software just incorrect and am I the one who is right? thanks